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Titlebook: Constructive Approximation; Special Issue: Fract Ronald A. DeVore,Edward B. Saff Book 1989 Springer Science+Business Media New York 1989 an

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发表于 2025-3-21 17:06:15 | 显示全部楼层 |阅读模式
书目名称Constructive Approximation
副标题Special Issue: Fract
编辑Ronald A. DeVore,Edward B. Saff
视频videohttp://file.papertrans.cn/237/236099/236099.mp4
丛书名称Constructive Approximation
图书封面Titlebook: Constructive Approximation; Special Issue: Fract Ronald A. DeVore,Edward B. Saff Book 1989 Springer Science+Business Media New York 1989 an
出版日期Book 1989
关键词analysis; approximation; fractal; mathematics
版次1
doihttps://doi.org/10.1007/978-1-4899-6886-9
isbn_softcover978-1-4899-6816-6
isbn_ebook978-1-4899-6886-9
copyrightSpringer Science+Business Media New York 1989
The information of publication is updating

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发表于 2025-3-21 23:44:54 | 显示全部楼层
Hua Dong,Stephen Green,Neil Thomasely in which Lipschitz classes derivatives of . belong. If a function . is defined only on integers, this process extends . continuously to the real axis as .. Error bounds for this iterative interpolation are given.
发表于 2025-3-22 01:37:40 | 显示全部楼层
Athula Ginige,Buddhima De Silvaich an inverse problem is easily solved in principle by Fourier transform methods. We show that a probability measure µ on .. can be approximated by invariant measures for finite iterated function systems of this class if .(.)/.(...) is positive definite for some nonzero contractive linear map .: ..→... Moments and cumulants are also discussed.
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发表于 2025-3-22 10:05:29 | 显示全部楼层
,Hölder Exponents and Box Dimension for Self-Affine Fractal Functions,show that there is a larger Hölder exponent, .., defined at almost every point (with respect to Lebesgue measure). For a class of such functions defined using linear affinities these exponents are related to the box dimension .. of the graph by .≤2-..≤...
发表于 2025-3-22 13:32:40 | 显示全部楼层
Symmetric Iterative Interpolation Processes,ely in which Lipschitz classes derivatives of . belong. If a function . is defined only on integers, this process extends . continuously to the real axis as .. Error bounds for this iterative interpolation are given.
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发表于 2025-3-22 23:06:07 | 显示全部楼层
Porous Surfaces,itable regularity conditions, then the Bouligand dimension of . is equal to the exponent of convergence of the series Σ (diam ?.).. We give here general conditions to obtain this equality, together with numerous examples and possible ways of developing this theory.
发表于 2025-3-23 03:53:56 | 显示全部楼层
https://doi.org/10.1007/978-3-540-73165-8oded using iterated map techniques. The theory of fractal interpolation functions [B] is extended, and the fractal dimensions for certain attractors is derived, extending the technique of Hardin and Massopust [HM]. Applications to Julia set theory and to the study of the boundary of IFS attractors are presented.
发表于 2025-3-23 09:36:27 | 显示全部楼层
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